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52122096 = 2433139281
BaseRepresentation
bin1100011011010…
…1000111110000
310122002002002000
43012311013300
5101320401341
65101054000
71202013315
oct306650760
9118062060
1052122096
1127470114
1215557300
13aa4c2a0
146ccad0c
1548988b6
hex31b51f0

52122096 has 80 divisors (see below), whose sum is σ = 161135520. Its totient is φ = 16035840.

The previous prime is 52122053. The next prime is 52122097. The reversal of 52122096 is 69022125.

52122096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52122097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976 + ... + 10256.

It is an arithmetic number, because the mean of its divisors is an integer number (2014194).

Almost surely, 252122096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52122096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80567760).

52122096 is an abundant number, since it is smaller than the sum of its proper divisors (109013424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52122096 is a wasteful number, since it uses less digits than its factorization.

52122096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9311 (or 9299 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 52122096 is about 7219.5634217036. The cubic root of 52122096 is about 373.5430185447.

The spelling of 52122096 in words is "fifty-two million, one hundred twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 9281 18562 27843 37124 55686 74248 83529 111372 120653 148496 167058 222744 241306 250587 334116 361959 445488 482612 501174 668232 723918 965224 1002348 1085877 1336464 1447836 1930448 2004696 2171754 2895672 3257631 4009392 4343508 5791344 6515262 8687016 13030524 17374032 26061048 52122096